4. Prove that var(ax + bY) = a² var(X) + b² var (Y) + 2ab cov (Y, X)
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- 2. Prove that var (ax + by) = a² var (x) + b² var(y) + 2ab cov(x, y)Let X and Y be two independent R.Vs with Var(X) = 9 and Var(Y) = 3. Find Var (4X-2Y+6).= Let Var(X₁) = Var(X3) = 2, Var(X₂) = 3, Cov(X₁, X₂) = 2, Cov(X2, X3) = -2, Cov(X1, X3) = -1. i) Suppose Y₁ = X1₁ X₂. Find Var(Y₁). ii) Suppose Y₂ = X₁ − 2X2 — X3. Find Var(Y₂) and Cov(Y₁, Y₂).
- Find the solution of the D.E. below: 2(2x² + y*)«x – xycdy = 0 ... x* = c (4x²+y²) x* = c(x?+ 4y?) B © x* = 4c (x²+y²2) x* = c (4x²- y²)Q6 : find 1) j(1 - jV3)(V8 +)) 2) (1+))(1 - jV3)? 3) cos™1(2)Forwarded Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and integer 6:26 pm
